**Unformatted text preview: **K = 6 × 10 8 and growth rate k = 0 . 6. Time is measured in years. (a) If the population of ﬁsh in 1999 was 2 × 10 8 , then what is the population now? (b) How long will it, or did it, take to reach 4 × 10 8 ? (c) How long will it take to reach K ? 3. Solve the following diﬀerential equations: (a) dy dt = 2-3 y 100 + 2 t , y (0) = 100 (b) xy = y + x 2 sin( x ), y ( π ) = 0 4. (a) Let a n = ne-n . Determine whether the sequence is decreasing or increasing. (b) Find the limit of the following sequences: i. a n = sin(sin( n )) √ n +1 ii. a n = sin( nπ/ 2) iii. a n = ln( n 2 + 1)-ln(3 n 2-2) 1...

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